Calculating mass from angles and all sides of vector triangle

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SUMMARY

The discussion focuses on calculating the mass of a suspended object supported by four strings, given the tensions in those strings. The key equation utilized is Newton's Second Law, expressed as F = ma, where the tension in the fourth string directly corresponds to the weight of the object. The user is advised to clarify their diagram to ensure accurate interpretation of the tension values. This approach provides a definitive method for determining mass from the known tensions.

PREREQUISITES
  • Understanding of Newton's Second Law (F = ma)
  • Basic knowledge of tension in strings
  • Familiarity with vector triangle concepts
  • Ability to interpret diagrams in physics problems
NEXT STEPS
  • Study the application of Newton's Second Law in static equilibrium problems
  • Learn about vector resolution and its role in calculating forces
  • Explore tension calculations in multi-string systems
  • Review examples of mass and weight calculations in physics
USEFUL FOR

Students in physics courses, particularly those studying mechanics, as well as educators and anyone involved in solving problems related to forces and tensions in static systems.

spcmessina
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Homework Statement


the attachment is a drawing of what was given/what i have already found the mass and weight are the only things i have to find and i can't find any equations that will help me figure this out
 

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spcmessina said:

Homework Statement


the attachment is a drawing of what was given/what i have already found the mass and weight are the only things i have to find and i can't find any equations that will help me figure this out

It appears that you have 4 strings supporting an object with some mass. It also appears you have found 4 of the 4 tensions in the 4 strings (i.e. each string has a tension). Thus the tension in the fourth string equals the weight of the suspended object. In order to find the mass of the suspended object (assuming those 4 tensions on your diagram represent the tension in the strings) use Newton's Second Law: F = ma.

EDIT: Please clarify your drawing if I've wrongly assumed the values given are the tensions in each of the 4 strings (it's hard to tell from your drawing).

CS
 

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